Expanding the landscape of $\mathcal{N}$=2 rank 1 SCFTs

Abstract

We refine our previous proposal for systematically classifying 4d rank-1 $\mathcal{N}=2$ SCFTs by constructing their possible Coulomb branch geometries. Four new recently discussed rank-1 theories, including novel $\mathcal{N}=3$ SCFTs, sit beautifully in our refined classification framework. By arguing for the consistency of their RG flows we can make a strong case for the existence of at least four additional rank-1 SCFTs, nearly doubling the number of known rank-1 SCFTs. The refinement consists of relaxing the assumption that the flavor symmetries of the SCFTs have no discrete factors. This results in an enlarged (but finite) set of possible rank-1 SCFTs. Their existence can be further constrained using consistency of their central charges and RG flows.

30 pages, 1 table and 4 figures

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Cited by in corpus (6)

• S-folds and 4d N=3 superconformal field theories
• Geometric classification of 4d $\mathcal{N}=2$ SCFTs
• Seiberg-Witten geometries for Coulomb branch chiral rings which are not freely generated
• The Singularity Structure of Scale-Invariant Rank-2 Coulomb Branches
• Testing our understanding of SCFTs: a catalogue of rank-2 $\mathcal{N}$=2 theories in four dimensions
• $\mathcal{N}=3$ four dimensional field theories